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102021211111000 = 2353979091115693
BaseRepresentation
bin10111001100100110101010…
…000011000011111001011000
3111101020010120121121110110111
4113030212222003003321120
5101333003420021023000
61000551521455254104
730326534501130136
oct2714465203037130
9441203517543414
10102021211111000
112a563a52a91665
12b53848921a334
1344c0735c6986c
141b29bd276a756
15bbdc149eacba
hex5cc9aa0c3e58

102021211111000 has 128 divisors (see below), whose sum is σ = 241219379943360. Its totient is φ = 40382986752000.

The previous prime is 102021211110983. The next prime is 102021211111007. The reversal of 102021211111000 is 111112120201.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102021211111007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 881769154 + ... + 881884846.

Almost surely, 2102021211111000 is an apocalyptic number.

102021211111000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102021211111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120609689971680).

102021211111000 is an abundant number, since it is smaller than the sum of its proper divisors (139198168832360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102021211111000 is a wasteful number, since it uses less digits than its factorization.

102021211111000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124902 (or 124888 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 102021211111000 its reverse (111112120201), we get a palindrome (102132323231201).

The spelling of 102021211111000 in words is "one hundred two trillion, twenty-one billion, two hundred eleven million, one hundred eleven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 97 100 125 194 200 250 388 485 500 776 970 1000 1940 2425 3880 4850 9091 9700 12125 18182 19400 24250 36364 45455 48500 72728 90910 97000 115693 181820 227275 231386 363640 454550 462772 578465 881827 909100 925544 1136375 1156930 1763654 1818200 2272750 2313860 2892325 3527308 4409135 4545500 4627720 5784650 7054616 8818270 9091000 11222221 11569300 14461625 17636540 22045675 22444442 23138600 28923250 35273080 44091350 44888884 56111105 57846500 88182700 89777768 110228375 112222210 115693000 176365400 220456750 224444420 280555525 440913500 448888840 561111050 881827000 1051765063 1122222100 1402777625 2103530126 2244444200 2805555250 4207060252 5258825315 5611110500 8414120504 10517650630 11222221000 21035301260 26294126575 42070602520 52588253150 102021211111 105176506300 131470632875 204042422222 210353012600 262941265750 408084844444 510106055555 525882531500 816169688888 1020212111110 1051765063000 2040424222220 2550530277775 4080848444440 5101060555550 10202121111100 12752651388875 20404242222200 25505302777750 51010605555500 102021211111000